11306180 has 24 divisors (see below), whose sum is σ = 23814168. Its totient is φ = 4508928.

The previous prime is 11306171. The next prime is 11306203. The reversal of 11306180 is 8160311.

It can be written as a sum of positive squares in 4 ways, for example, as 4251844 + 7054336 = 2062^2 + 2656^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8522 + ... + 9758.

It is an arithmetic number, because the mean of its divisors is an integer number (992257).

Almost surely, 2^11306180 is an apocalyptic number.

11306180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11306180 is an abundant number, since it is smaller than the sum of its proper divisors (12507988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11306180 is a wasteful number, since it uses less digits than its factorization.

11306180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 11306180 is about 3362.4663567090. The cubic root of 11306180 is about 224.4426038327.

Adding to 11306180 its reverse (8160311), we get a palindrome (19466491).

The spelling of 11306180 in words is "eleven million, three hundred six thousand, one hundred eighty".